Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [600,2,Mod(251,600)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(600, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("600.251");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 600 = 2^{3} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 600.b (of order \(2\), degree \(1\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(4.79102412128\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Coefficient field: | 12.0.537291533250985984.1 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} - 5x^{10} + 14x^{8} - 30x^{6} + 56x^{4} - 80x^{2} + 64 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{2} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 251.6 | ||
Root | \(0.847808 - 1.13191i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 600.251 |
Dual form | 600.2.b.h.251.5 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/600\mathbb{Z}\right)^\times\).
\(n\) | \(151\) | \(301\) | \(401\) | \(577\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.847808 | + | 1.13191i | −0.599491 | + | 0.800382i | ||||
\(3\) | 0.242431 | − | 1.71500i | 0.139968 | − | 0.990156i | ||||
\(4\) | −0.562443 | − | 1.91929i | −0.281221 | − | 0.959643i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 1.73569 | + | 1.72840i | 0.708593 | + | 0.705617i | ||||
\(7\) | − | 3.08957i | − | 1.16775i | −0.811845 | − | 0.583873i | \(-0.801537\pi\) | ||
0.811845 | − | 0.583873i | \(-0.198463\pi\) | |||||||
\(8\) | 2.64930 | + | 0.990551i | 0.936670 | + | 0.350213i | ||||
\(9\) | −2.88245 | − | 0.831539i | −0.960818 | − | 0.277180i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 2.54654i | 0.767810i | 0.923373 | + | 0.383905i | \(0.125421\pi\) | ||||
−0.923373 | + | 0.383905i | \(0.874579\pi\) | |||||||
\(12\) | −3.42793 | + | 0.499295i | −0.989558 | + | 0.144134i | ||||
\(13\) | − | 5.06696i | − | 1.40532i | −0.711525 | − | 0.702661i | \(-0.751995\pi\) | ||
0.711525 | − | 0.702661i | \(-0.248005\pi\) | |||||||
\(14\) | 3.49711 | + | 2.61936i | 0.934642 | + | 0.700053i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −3.36732 | + | 2.15898i | −0.841829 | + | 0.539744i | ||||
\(17\) | 0.214179i | 0.0519459i | 0.999663 | + | 0.0259730i | \(0.00826838\pi\) | ||||
−0.999663 | + | 0.0259730i | \(0.991732\pi\) | |||||||
\(18\) | 3.38500 | − | 2.55770i | 0.797851 | − | 0.602855i | ||||
\(19\) | 2.60975 | 0.598717 | 0.299359 | − | 0.954141i | \(-0.403227\pi\) | ||||
0.299359 | + | 0.954141i | \(0.403227\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −5.29861 | − | 0.749006i | −1.15625 | − | 0.163447i | ||||
\(22\) | −2.88245 | − | 2.15898i | −0.614541 | − | 0.460295i | ||||
\(23\) | −4.47647 | −0.933408 | −0.466704 | − | 0.884414i | \(-0.654559\pi\) | ||||
−0.466704 | + | 0.884414i | \(0.654559\pi\) | |||||||
\(24\) | 2.34107 | − | 4.30342i | 0.477869 | − | 0.878431i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 5.73534 | + | 4.29581i | 1.12479 | + | 0.842478i | ||||
\(27\) | −2.12489 | + | 4.74182i | −0.408934 | + | 0.912564i | ||||
\(28\) | −5.92976 | + | 1.73770i | −1.12062 | + | 0.328395i | ||||
\(29\) | −7.86770 | −1.46100 | −0.730498 | − | 0.682915i | \(-0.760712\pi\) | ||||
−0.730498 | + | 0.682915i | \(0.760712\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 4.58758i | 0.823953i | 0.911194 | + | 0.411977i | \(0.135161\pi\) | ||||
−0.911194 | + | 0.411977i | \(0.864839\pi\) | |||||||
\(32\) | 0.411070 | − | 5.64190i | 0.0726676 | − | 0.997356i | ||||
\(33\) | 4.36732 | + | 0.617360i | 0.760252 | + | 0.107469i | ||||
\(34\) | −0.242431 | − | 0.181582i | −0.0415766 | − | 0.0311411i | ||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 0.0252553 | + | 5.99995i | 0.00420921 | + | 0.999991i | ||||
\(37\) | − | 7.67714i | − | 1.26211i | −0.775736 | − | 0.631057i | \(-0.782621\pi\) | ||
0.775736 | − | 0.631057i | \(-0.217379\pi\) | |||||||
\(38\) | −2.21257 | + | 2.95400i | −0.358925 | + | 0.479202i | ||||
\(39\) | −8.68984 | − | 1.22839i | −1.39149 | − | 0.196700i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | − | 9.26946i | − | 1.44765i | −0.689985 | − | 0.723823i | \(-0.742383\pi\) | ||
0.689985 | − | 0.723823i | \(-0.257617\pi\) | |||||||
\(42\) | 5.34001 | − | 5.36253i | 0.823981 | − | 0.827457i | ||||
\(43\) | −11.4049 | −1.73924 | −0.869618 | − | 0.493725i | \(-0.835635\pi\) | ||||
−0.869618 | + | 0.493725i | \(0.835635\pi\) | |||||||
\(44\) | 4.88754 | − | 1.43228i | 0.736824 | − | 0.215925i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.79518 | − | 5.06696i | 0.559569 | − | 0.747082i | ||||
\(47\) | 10.5972 | 1.54576 | 0.772881 | − | 0.634551i | \(-0.218815\pi\) | ||||
0.772881 | + | 0.634551i | \(0.218815\pi\) | |||||||
\(48\) | 2.88630 | + | 6.29835i | 0.416602 | + | 0.909089i | ||||
\(49\) | −2.54541 | −0.363631 | ||||||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 0.367316 | + | 0.0519235i | 0.0514346 | + | 0.00727075i | ||||
\(52\) | −9.72494 | + | 2.84987i | −1.34861 | + | 0.395206i | ||||
\(53\) | −9.51198 | −1.30657 | −0.653285 | − | 0.757112i | \(-0.726610\pi\) | ||||
−0.653285 | + | 0.757112i | \(0.726610\pi\) | |||||||
\(54\) | −3.56582 | − | 6.42533i | −0.485247 | − | 0.874377i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 3.06037 | − | 8.18520i | 0.408960 | − | 1.09379i | ||||
\(57\) | 0.632684 | − | 4.47572i | 0.0838010 | − | 0.592823i | ||||
\(58\) | 6.67030 | − | 8.90553i | 0.875853 | − | 1.16935i | ||||
\(59\) | − | 0.428357i | − | 0.0557674i | −0.999611 | − | 0.0278837i | \(-0.991123\pi\) | ||
0.999611 | − | 0.0278837i | \(-0.00887680\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.11217i | 0.142399i | 0.997462 | + | 0.0711995i | \(0.0226827\pi\) | ||||
−0.997462 | + | 0.0711995i | \(0.977317\pi\) | |||||||
\(62\) | −5.19273 | − | 3.88939i | −0.659477 | − | 0.493953i | ||||
\(63\) | −2.56909 | + | 8.90553i | −0.323675 | + | 1.12199i | ||||
\(64\) | 6.03762 | + | 5.24854i | 0.754702 | + | 0.656068i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −4.40144 | + | 4.42001i | −0.541780 | + | 0.544065i | ||||
\(67\) | −2.35998 | −0.288317 | −0.144159 | − | 0.989555i | \(-0.546048\pi\) | ||||
−0.144159 | + | 0.989555i | \(0.546048\pi\) | |||||||
\(68\) | 0.411070 | − | 0.120463i | 0.0498495 | − | 0.0146083i | ||||
\(69\) | −1.08523 | + | 7.67714i | −0.130647 | + | 0.924219i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 6.12075 | 0.726399 | 0.363199 | − | 0.931711i | \(-0.381684\pi\) | ||||
0.363199 | + | 0.931711i | \(0.381684\pi\) | |||||||
\(72\) | −6.81281 | − | 5.05822i | −0.802898 | − | 0.596117i | ||||
\(73\) | 12.0147 | 1.40621 | 0.703106 | − | 0.711085i | \(-0.251796\pi\) | ||||
0.703106 | + | 0.711085i | \(0.251796\pi\) | |||||||
\(74\) | 8.68984 | + | 6.50874i | 1.01017 | + | 0.756626i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.46783 | − | 5.00885i | −0.168372 | − | 0.574555i | ||||
\(77\) | 7.86770 | 0.896608 | ||||||||
\(78\) | 8.75774 | − | 8.79468i | 0.991619 | − | 0.995802i | ||||
\(79\) | − | 11.6319i | − | 1.30869i | −0.756194 | − | 0.654347i | \(-0.772943\pi\) | ||
0.756194 | − | 0.654347i | \(-0.227057\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 7.61709 | + | 4.79374i | 0.846343 | + | 0.532638i | ||||
\(82\) | 10.4922 | + | 7.85873i | 1.15867 | + | 0.867851i | ||||
\(83\) | 2.29913i | 0.252362i | 0.992007 | + | 0.126181i | \(0.0402720\pi\) | ||||
−0.992007 | + | 0.126181i | \(0.959728\pi\) | |||||||
\(84\) | 1.54261 | + | 10.5908i | 0.168312 | + | 1.15555i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 9.66919 | − | 12.9094i | 1.04266 | − | 1.39205i | ||||
\(87\) | −1.90737 | + | 13.4931i | −0.204492 | + | 1.44661i | ||||
\(88\) | −2.52248 | + | 6.74655i | −0.268897 | + | 0.719185i | ||||
\(89\) | − | 12.4853i | − | 1.32344i | −0.749752 | − | 0.661719i | \(-0.769827\pi\) | ||
0.749752 | − | 0.661719i | \(-0.230173\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −15.6547 | −1.64106 | ||||||||
\(92\) | 2.51776 | + | 8.59162i | 0.262494 | + | 0.895738i | ||||
\(93\) | 7.86770 | + | 1.11217i | 0.815842 | + | 0.115327i | ||||
\(94\) | −8.98440 | + | 11.9951i | −0.926670 | + | 1.23720i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −9.57620 | − | 2.07276i | −0.977367 | − | 0.211550i | ||||
\(97\) | 8.04496 | 0.816842 | 0.408421 | − | 0.912794i | \(-0.366080\pi\) | ||||
0.408421 | + | 0.912794i | \(0.366080\pi\) | |||||||
\(98\) | 2.15802 | − | 2.88118i | 0.217993 | − | 0.291043i | ||||
\(99\) | 2.11755 | − | 7.34028i | 0.212821 | − | 0.737726i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 1.08523 | 0.107985 | 0.0539924 | − | 0.998541i | \(-0.482805\pi\) | ||||
0.0539924 | + | 0.998541i | \(0.482805\pi\) | |||||||
\(102\) | −0.370187 | + | 0.371748i | −0.0366539 | + | 0.0368085i | ||||
\(103\) | 11.6319i | 1.14613i | 0.819511 | + | 0.573064i | \(0.194245\pi\) | ||||
−0.819511 | + | 0.573064i | \(0.805755\pi\) | |||||||
\(104\) | 5.01908 | − | 13.4239i | 0.492162 | − | 1.31632i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 8.06433 | − | 10.7667i | 0.783277 | − | 1.04576i | ||||
\(107\) | − | 6.50874i | − | 0.629224i | −0.949220 | − | 0.314612i | \(-0.898126\pi\) | ||
0.949220 | − | 0.314612i | \(-0.101874\pi\) | |||||||
\(108\) | 10.2960 | + | 1.41126i | 0.990736 | + | 0.135799i | ||||
\(109\) | 5.06696i | 0.485327i | 0.970111 | + | 0.242663i | \(0.0780210\pi\) | ||||
−0.970111 | + | 0.242663i | \(0.921979\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −13.1663 | − | 1.86118i | −1.24969 | − | 0.176655i | ||||
\(112\) | 6.67030 | + | 10.4035i | 0.630284 | + | 0.983043i | ||||
\(113\) | − | 6.05364i | − | 0.569479i | −0.958605 | − | 0.284739i | \(-0.908093\pi\) | ||
0.958605 | − | 0.284739i | \(-0.0919070\pi\) | |||||||
\(114\) | 4.52972 | + | 4.51069i | 0.424247 | + | 0.422465i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 4.42513 | + | 15.1004i | 0.410863 | + | 1.40203i | ||||
\(117\) | −4.21337 | + | 14.6053i | −0.389526 | + | 1.35026i | ||||
\(118\) | 0.484862 | + | 0.363165i | 0.0446352 | + | 0.0334320i | ||||
\(119\) | 0.661719 | 0.0606597 | ||||||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 4.51514 | 0.410467 | ||||||||
\(122\) | −1.25888 | − | 0.942908i | −0.113973 | − | 0.0853668i | ||||
\(123\) | −15.8971 | − | 2.24720i | −1.43340 | − | 0.202624i | ||||
\(124\) | 8.80487 | − | 2.58025i | 0.790701 | − | 0.231713i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −7.90217 | − | 10.4582i | −0.703981 | − | 0.931687i | ||||
\(127\) | 0.958763i | 0.0850765i | 0.999095 | + | 0.0425382i | \(0.0135444\pi\) | ||||
−0.999095 | + | 0.0425382i | \(0.986456\pi\) | |||||||
\(128\) | −11.0596 | + | 2.38428i | −0.977542 | + | 0.210743i | ||||
\(129\) | −2.76491 | + | 19.5595i | −0.243437 | + | 1.72211i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 3.78126i | − | 0.330370i | −0.986263 | − | 0.165185i | \(-0.947178\pi\) | ||
0.986263 | − | 0.165185i | \(-0.0528221\pi\) | |||||||
\(132\) | −1.27147 | − | 8.72936i | −0.110668 | − | 0.759793i | ||||
\(133\) | − | 8.06299i | − | 0.699149i | ||||||
\(134\) | 2.00081 | − | 2.67128i | 0.172843 | − | 0.230764i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −0.212155 | + | 0.567424i | −0.0181921 | + | 0.0486562i | ||||
\(137\) | 13.1878i | 1.12671i | 0.826215 | + | 0.563355i | \(0.190490\pi\) | ||||
−0.826215 | + | 0.563355i | \(0.809510\pi\) | |||||||
\(138\) | −7.76977 | − | 7.73713i | −0.661407 | − | 0.658628i | ||||
\(139\) | 17.2947 | 1.46692 | 0.733460 | − | 0.679733i | \(-0.237904\pi\) | ||||
0.733460 | + | 0.679733i | \(0.237904\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | 2.56909 | − | 18.1742i | 0.216357 | − | 1.53055i | ||||
\(142\) | −5.18922 | + | 6.92814i | −0.435470 | + | 0.581396i | ||||
\(143\) | 12.9032 | 1.07902 | ||||||||
\(144\) | 11.5014 | − | 3.42310i | 0.958451 | − | 0.285258i | ||||
\(145\) | 0 | 0 | ||||||||
\(146\) | −10.1861 | + | 13.5995i | −0.843011 | + | 1.12551i | ||||
\(147\) | −0.617087 | + | 4.36539i | −0.0508965 | + | 0.360051i | ||||
\(148\) | −14.7346 | + | 4.31795i | −1.21118 | + | 0.354934i | ||||
\(149\) | 3.81475 | 0.312516 | 0.156258 | − | 0.987716i | \(-0.450057\pi\) | ||||
0.156258 | + | 0.987716i | \(0.450057\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 13.2235i | 1.07611i | 0.842909 | + | 0.538056i | \(0.180841\pi\) | ||||
−0.842909 | + | 0.538056i | \(0.819159\pi\) | |||||||
\(152\) | 6.91401 | + | 2.58509i | 0.560800 | + | 0.209678i | ||||
\(153\) | 0.178098 | − | 0.617360i | 0.0143983 | − | 0.0499106i | ||||
\(154\) | −6.67030 | + | 8.90553i | −0.537508 | + | 0.717628i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 2.52991 | + | 17.3692i | 0.202555 | + | 1.39065i | ||||
\(157\) | − | 6.56497i | − | 0.523942i | −0.965076 | − | 0.261971i | \(-0.915628\pi\) | ||
0.965076 | − | 0.261971i | \(-0.0843725\pi\) | |||||||
\(158\) | 13.1663 | + | 9.86165i | 1.04746 | + | 0.784550i | ||||
\(159\) | −2.30600 | + | 16.3131i | −0.182878 | + | 1.29371i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 13.8303i | 1.08998i | ||||||||
\(162\) | −11.8839 | + | 4.55769i | −0.933689 | + | 0.358086i | ||||
\(163\) | 8.13957 | 0.637540 | 0.318770 | − | 0.947832i | \(-0.396730\pi\) | ||||
0.318770 | + | 0.947832i | \(0.396730\pi\) | |||||||
\(164\) | −17.7907 | + | 5.21354i | −1.38922 | + | 0.407109i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −2.60241 | − | 1.94922i | −0.201986 | − | 0.151289i | ||||
\(167\) | −21.8561 | −1.69128 | −0.845640 | − | 0.533754i | \(-0.820781\pi\) | ||||
−0.845640 | + | 0.533754i | \(0.820781\pi\) | |||||||
\(168\) | −13.2957 | − | 7.23289i | −1.02578 | − | 0.558029i | ||||
\(169\) | −12.6741 | −0.974929 | ||||||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.52248 | − | 2.17011i | −0.575258 | − | 0.165952i | ||||
\(172\) | 6.41462 | + | 21.8893i | 0.489110 | + | 1.66905i | ||||
\(173\) | −9.51198 | −0.723182 | −0.361591 | − | 0.932337i | \(-0.617766\pi\) | ||||
−0.361591 | + | 0.932337i | \(0.617766\pi\) | |||||||
\(174\) | −13.6559 | − | 13.5985i | −1.03525 | − | 1.03090i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −5.49792 | − | 8.57500i | −0.414421 | − | 0.646365i | ||||
\(177\) | −0.734633 | − | 0.103847i | −0.0552184 | − | 0.00780562i | ||||
\(178\) | 14.1322 | + | 10.5851i | 1.05926 | + | 0.793389i | ||||
\(179\) | 16.2398i | 1.21382i | 0.794771 | + | 0.606910i | \(0.207591\pi\) | ||||
−0.794771 | + | 0.606910i | \(0.792409\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | − | 9.74808i | − | 0.724569i | −0.932068 | − | 0.362284i | \(-0.881997\pi\) | ||
0.932068 | − | 0.362284i | \(-0.118003\pi\) | |||||||
\(182\) | 13.2722 | − | 17.7197i | 0.983800 | − | 1.31347i | ||||
\(183\) | 1.90737 | + | 0.269625i | 0.140997 | + | 0.0199312i | ||||
\(184\) | −11.8595 | − | 4.43417i | −0.874295 | − | 0.326891i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −7.92918 | + | 7.96262i | −0.581396 | + | 0.583848i | ||||
\(187\) | −0.545414 | −0.0398846 | ||||||||
\(188\) | −5.96033 | − | 20.3391i | −0.434701 | − | 1.48338i | ||||
\(189\) | 14.6502 | + | 6.56497i | 1.06564 | + | 0.477531i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 2.30600 | 0.166856 | 0.0834281 | − | 0.996514i | \(-0.473413\pi\) | ||||
0.0834281 | + | 0.996514i | \(0.473413\pi\) | |||||||
\(192\) | 10.4650 | − | 9.08211i | 0.755243 | − | 0.655445i | ||||
\(193\) | 11.2498 | 0.809776 | 0.404888 | − | 0.914366i | \(-0.367310\pi\) | ||||
0.404888 | + | 0.914366i | \(0.367310\pi\) | |||||||
\(194\) | −6.82058 | + | 9.10617i | −0.489689 | + | 0.653785i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 1.43165 | + | 4.88538i | 0.102261 | + | 0.348956i | ||||
\(197\) | 6.78247 | 0.483231 | 0.241615 | − | 0.970372i | \(-0.422323\pi\) | ||||
0.241615 | + | 0.970372i | \(0.422323\pi\) | |||||||
\(198\) | 6.51327 | + | 8.62002i | 0.462878 | + | 0.612598i | ||||
\(199\) | − | 0.632789i | − | 0.0448573i | −0.999748 | − | 0.0224286i | \(-0.992860\pi\) | ||
0.999748 | − | 0.0224286i | \(-0.00713985\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −0.572131 | + | 4.04736i | −0.0403550 | + | 0.285479i | ||||
\(202\) | −0.920070 | + | 1.22839i | −0.0647359 | + | 0.0864291i | ||||
\(203\) | 24.3078i | 1.70607i | ||||||||
\(204\) | −0.106938 | − | 0.734189i | −0.00748718 | − | 0.0514035i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −13.1663 | − | 9.86165i | −0.917340 | − | 0.687093i | ||||
\(207\) | 12.9032 | + | 3.72235i | 0.896835 | + | 0.258722i | ||||
\(208\) | 10.9394 | + | 17.0621i | 0.758514 | + | 1.18304i | ||||
\(209\) | 6.64582i | 0.459701i | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 11.6400 | 0.801332 | 0.400666 | − | 0.916224i | \(-0.368779\pi\) | ||||
0.400666 | + | 0.916224i | \(0.368779\pi\) | |||||||
\(212\) | 5.34994 | + | 18.2562i | 0.367436 | + | 1.25384i | ||||
\(213\) | 1.48386 | − | 10.4971i | 0.101672 | − | 0.719248i | ||||
\(214\) | 7.36732 | + | 5.51817i | 0.503619 | + | 0.377214i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −10.3265 | + | 10.4577i | −0.702628 | + | 0.711557i | ||||
\(217\) | 14.1736 | 0.962168 | ||||||||
\(218\) | −5.73534 | − | 4.29581i | −0.388447 | − | 0.290949i | ||||
\(219\) | 2.91273 | − | 20.6052i | 0.196824 | − | 1.39237i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 1.08523 | 0.0730008 | ||||||||
\(222\) | 13.2692 | − | 13.3252i | 0.890570 | − | 0.894326i | ||||
\(223\) | − | 10.7667i | − | 0.720992i | −0.932761 | − | 0.360496i | \(-0.882607\pi\) | ||
0.932761 | − | 0.360496i | \(-0.117393\pi\) | |||||||
\(224\) | −17.4310 | − | 1.27003i | −1.16466 | − | 0.0848573i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 6.85218 | + | 5.13233i | 0.455800 | + | 0.341397i | ||||
\(227\) | − | 12.8365i | − | 0.851991i | −0.904725 | − | 0.425996i | \(-0.859924\pi\) | ||
0.904725 | − | 0.425996i | \(-0.140076\pi\) | |||||||
\(228\) | −8.94603 | + | 1.30303i | −0.592465 | + | 0.0862956i | ||||
\(229\) | − | 14.9684i | − | 0.989143i | −0.869137 | − | 0.494571i | \(-0.835325\pi\) | ||
0.869137 | − | 0.494571i | \(-0.164675\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 1.90737 | − | 13.4931i | 0.125496 | − | 0.887781i | ||||
\(232\) | −20.8439 | − | 7.79336i | −1.36847 | − | 0.511659i | ||||
\(233\) | − | 20.8980i | − | 1.36908i | −0.728977 | − | 0.684538i | \(-0.760004\pi\) | ||
0.728977 | − | 0.684538i | \(-0.239996\pi\) | |||||||
\(234\) | −12.9597 | − | 17.1516i | −0.847205 | − | 1.12124i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −0.822140 | + | 0.240926i | −0.0535167 | + | 0.0156830i | ||||
\(237\) | −19.9488 | − | 2.81994i | −1.29581 | − | 0.183175i | ||||
\(238\) | −0.561011 | + | 0.749006i | −0.0363649 | + | 0.0485509i | ||||
\(239\) | 28.6386 | 1.85248 | 0.926239 | − | 0.376937i | \(-0.123023\pi\) | ||||
0.926239 | + | 0.376937i | \(0.123023\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 9.24977 | 0.595830 | 0.297915 | − | 0.954592i | \(-0.403709\pi\) | ||||
0.297915 | + | 0.954592i | \(0.403709\pi\) | |||||||
\(242\) | −3.82797 | + | 5.11073i | −0.246071 | + | 0.328530i | ||||
\(243\) | 10.0679 | − | 11.9012i | 0.645856 | − | 0.763460i | ||||
\(244\) | 2.13457 | − | 0.625532i | 0.136652 | − | 0.0400456i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 16.0214 | − | 16.0889i | 1.02148 | − | 1.02579i | ||||
\(247\) | − | 13.2235i | − | 0.841390i | ||||||
\(248\) | −4.54423 | + | 12.1539i | −0.288559 | + | 0.771773i | ||||
\(249\) | 3.94301 | + | 0.557380i | 0.249878 | + | 0.0353225i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 1.23472i | 0.0779348i | 0.999240 | + | 0.0389674i | \(0.0124069\pi\) | ||||
−0.999240 | + | 0.0389674i | \(0.987593\pi\) | |||||||
\(252\) | 18.5372 | − | 0.0780279i | 1.16774 | − | 0.00491529i | ||||
\(253\) | − | 11.3995i | − | 0.716680i | ||||||
\(254\) | −1.08523 | − | 0.812847i | −0.0680937 | − | 0.0510026i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 6.67764 | − | 14.5399i | 0.417352 | − | 0.908745i | ||||
\(257\) | − | 18.6054i | − | 1.16057i | −0.814413 | − | 0.580286i | \(-0.802941\pi\) | ||
0.814413 | − | 0.580286i | \(-0.197059\pi\) | |||||||
\(258\) | −19.7955 | − | 19.7123i | −1.23241 | − | 1.22723i | ||||
\(259\) | −23.7190 | −1.47383 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 22.6783 | + | 6.54230i | 1.40375 | + | 0.404958i | ||||
\(262\) | 4.28005 | + | 3.20578i | 0.264422 | + | 0.198054i | ||||
\(263\) | 11.2589 | 0.694255 | 0.347128 | − | 0.937818i | \(-0.387157\pi\) | ||||
0.347128 | + | 0.937818i | \(0.387157\pi\) | |||||||
\(264\) | 10.9588 | + | 5.96163i | 0.674469 | + | 0.366913i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 9.12658 | + | 6.83586i | 0.559586 | + | 0.419134i | ||||
\(267\) | −21.4123 | − | 3.02682i | −1.31041 | − | 0.185238i | ||||
\(268\) | 1.32735 | + | 4.52947i | 0.0810809 | + | 0.276681i | ||||
\(269\) | 11.6824 | 0.712291 | 0.356146 | − | 0.934430i | \(-0.384091\pi\) | ||||
0.356146 | + | 0.934430i | \(0.384091\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 0 | 0 | 1.00000 | \(0\) | ||||||
−1.00000 | \(\pi\) | |||||||||
\(272\) | −0.462407 | − | 0.721207i | −0.0280375 | − | 0.0437296i | ||||
\(273\) | −3.79518 | + | 26.8478i | −0.229695 | + | 1.62490i | ||||
\(274\) | −14.9274 | − | 11.1807i | −0.901798 | − | 0.675452i | ||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 15.3450 | − | 2.23508i | 0.923661 | − | 0.134536i | ||||
\(277\) | − | 17.4252i | − | 1.04698i | −0.852032 | − | 0.523490i | \(-0.824630\pi\) | ||
0.852032 | − | 0.523490i | \(-0.175370\pi\) | |||||||
\(278\) | −14.6626 | + | 19.5761i | −0.879405 | + | 1.17410i | ||||
\(279\) | 3.81475 | − | 13.2235i | 0.228383 | − | 0.791669i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | − | 12.9736i | − | 0.773941i | −0.922092 | − | 0.386971i | \(-0.873521\pi\) | ||
0.922092 | − | 0.386971i | \(-0.126479\pi\) | |||||||
\(282\) | 18.3935 | + | 18.3162i | 1.09532 | + | 1.09072i | ||||
\(283\) | −12.3893 | −0.736470 | −0.368235 | − | 0.929733i | \(-0.620038\pi\) | ||||
−0.368235 | + | 0.929733i | \(0.620038\pi\) | |||||||
\(284\) | −3.44257 | − | 11.7475i | −0.204279 | − | 0.697084i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −10.9394 | + | 14.6053i | −0.646863 | + | 0.863628i | ||||
\(287\) | −28.6386 | −1.69048 | ||||||||
\(288\) | −5.87635 | + | 15.9207i | −0.346267 | + | 0.938136i | ||||
\(289\) | 16.9541 | 0.997302 | ||||||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 1.95035 | − | 13.7971i | 0.114331 | − | 0.808801i | ||||
\(292\) | −6.75757 | − | 23.0596i | −0.395457 | − | 1.34946i | ||||
\(293\) | 31.7916 | 1.85729 | 0.928644 | − | 0.370973i | \(-0.120976\pi\) | ||||
0.928644 | + | 0.370973i | \(0.120976\pi\) | |||||||
\(294\) | −4.41806 | − | 4.39950i | −0.257666 | − | 0.256584i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 7.60460 | − | 20.3391i | 0.442009 | − | 1.18219i | ||||
\(297\) | −12.0752 | − | 5.41110i | −0.700676 | − | 0.313984i | ||||
\(298\) | −3.23417 | + | 4.31795i | −0.187351 | + | 0.250132i | ||||
\(299\) | 22.6821i | 1.31174i | ||||||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 35.2363i | 2.03099i | ||||||||
\(302\) | −14.9678 | − | 11.2110i | −0.861300 | − | 0.645119i | ||||
\(303\) | 0.263094 | − | 1.86118i | 0.0151144 | − | 0.106922i | ||||
\(304\) | −8.78785 | + | 5.63438i | −0.504017 | + | 0.323154i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 0.547804 | + | 0.724994i | 0.0313158 | + | 0.0414451i | ||||
\(307\) | 10.3288 | 0.589495 | 0.294747 | − | 0.955575i | \(-0.404764\pi\) | ||||
0.294747 | + | 0.955575i | \(0.404764\pi\) | |||||||
\(308\) | −4.42513 | − | 15.1004i | −0.252145 | − | 0.860423i | ||||
\(309\) | 19.9488 | + | 2.81994i | 1.13485 | + | 0.160421i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 5.13819 | 0.291360 | 0.145680 | − | 0.989332i | \(-0.453463\pi\) | ||||
0.145680 | + | 0.989332i | \(0.453463\pi\) | |||||||
\(312\) | −21.8052 | − | 11.8621i | −1.23448 | − | 0.671559i | ||||
\(313\) | −15.6741 | −0.885951 | −0.442976 | − | 0.896534i | \(-0.646077\pi\) | ||||
−0.442976 | + | 0.896534i | \(0.646077\pi\) | |||||||
\(314\) | 7.43096 | + | 5.56584i | 0.419353 | + | 0.314098i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −22.3250 | + | 6.54230i | −1.25588 | + | 0.368033i | ||||
\(317\) | −8.95293 | −0.502847 | −0.251423 | − | 0.967877i | \(-0.580899\pi\) | ||||
−0.251423 | + | 0.967877i | \(0.580899\pi\) | |||||||
\(318\) | −16.5099 | − | 16.4405i | −0.925827 | − | 0.921939i | ||||
\(319\) | − | 20.0354i | − | 1.12177i | ||||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −11.1625 | − | 1.57792i | −0.623030 | − | 0.0880710i | ||||
\(322\) | −15.6547 | − | 11.7255i | −0.872403 | − | 0.653435i | ||||
\(323\) | 0.558952i | 0.0311009i | ||||||||
\(324\) | 4.91639 | − | 17.3156i | 0.273133 | − | 0.961976i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −6.90079 | + | 9.21326i | −0.382199 | + | 0.510275i | ||||
\(327\) | 8.68984 | + | 1.22839i | 0.480549 | + | 0.0679300i | ||||
\(328\) | 9.18188 | − | 24.5576i | 0.506984 | − | 1.35597i | ||||
\(329\) | − | 32.7408i | − | 1.80506i | ||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −4.48486 | −0.246510 | −0.123255 | − | 0.992375i | \(-0.539333\pi\) | ||||
−0.123255 | + | 0.992375i | \(0.539333\pi\) | |||||||
\(332\) | 4.41268 | − | 1.29313i | 0.242178 | − | 0.0709696i | ||||
\(333\) | −6.38384 | + | 22.1290i | −0.349832 | + | 1.21266i | ||||
\(334\) | 18.5298 | − | 24.7392i | 1.01391 | − | 1.35367i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 19.4592 | − | 8.91743i | 1.06158 | − | 0.486486i | ||||
\(337\) | −25.9991 | −1.41626 | −0.708130 | − | 0.706082i | \(-0.750461\pi\) | ||||
−0.708130 | + | 0.706082i | \(0.750461\pi\) | |||||||
\(338\) | 10.7452 | − | 14.3459i | 0.584461 | − | 0.780315i | ||||
\(339\) | −10.3820 | − | 1.46759i | −0.563873 | − | 0.0797085i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −11.6824 | −0.632640 | ||||||||
\(342\) | 8.83398 | − | 6.67494i | 0.477687 | − | 0.360939i | ||||
\(343\) | − | 13.7627i | − | 0.743118i | ||||||
\(344\) | −30.2151 | − | 11.2972i | −1.62909 | − | 0.609103i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 8.06433 | − | 10.7667i | 0.433541 | − | 0.578822i | ||||
\(347\) | 10.7184i | 0.575392i | 0.957722 | + | 0.287696i | \(0.0928892\pi\) | ||||
−0.957722 | + | 0.287696i | \(0.907111\pi\) | |||||||
\(348\) | 26.9699 | − | 3.92831i | 1.44574 | − | 0.210579i | ||||
\(349\) | − | 11.6319i | − | 0.622643i | −0.950305 | − | 0.311322i | \(-0.899228\pi\) | ||
0.950305 | − | 0.311322i | \(-0.100772\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | 24.0266 | + | 10.7667i | 1.28245 | + | 0.574684i | ||||
\(352\) | 14.3673 | + | 1.04681i | 0.765781 | + | 0.0557949i | ||||
\(353\) | 21.7547i | 1.15789i | 0.815367 | + | 0.578944i | \(0.196535\pi\) | ||||
−0.815367 | + | 0.578944i | \(0.803465\pi\) | |||||||
\(354\) | 0.740373 | − | 0.743496i | 0.0393504 | − | 0.0395164i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −23.9628 | + | 7.02226i | −1.27003 | + | 0.372179i | ||||
\(357\) | 0.160421 | − | 1.13485i | 0.00849039 | − | 0.0600625i | ||||
\(358\) | −18.3820 | − | 13.7682i | −0.971519 | − | 0.727674i | ||||
\(359\) | 12.9032 | 0.681005 | 0.340503 | − | 0.940244i | \(-0.389403\pi\) | ||||
0.340503 | + | 0.940244i | \(0.389403\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −12.1892 | −0.641538 | ||||||||
\(362\) | 11.0340 | + | 8.26450i | 0.579932 | + | 0.434372i | ||||
\(363\) | 1.09461 | − | 7.74346i | 0.0574521 | − | 0.406426i | ||||
\(364\) | 8.80487 | + | 30.0459i | 0.461501 | + | 1.57483i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −1.92228 | + | 1.93039i | −0.100479 | + | 0.100903i | ||||
\(367\) | − | 11.7255i | − | 0.612065i | −0.952021 | − | 0.306032i | \(-0.900998\pi\) | ||
0.952021 | − | 0.306032i | \(-0.0990016\pi\) | |||||||
\(368\) | 15.0737 | − | 9.66459i | 0.785770 | − | 0.503801i | ||||
\(369\) | −7.70792 | + | 26.7188i | −0.401258 | + | 1.39093i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 29.3879i | 1.52574i | ||||||||
\(372\) | −2.29056 | − | 15.7259i | −0.118760 | − | 0.815350i | ||||
\(373\) | 31.0944i | 1.61001i | 0.593270 | + | 0.805004i | \(0.297837\pi\) | ||||
−0.593270 | + | 0.805004i | \(0.702163\pi\) | |||||||
\(374\) | 0.462407 | − | 0.617360i | 0.0239105 | − | 0.0319229i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 28.0752 | + | 10.4971i | 1.44787 | + | 0.541346i | ||||
\(377\) | 39.8653i | 2.05317i | ||||||||
\(378\) | −19.8515 | + | 11.0168i | −1.02105 | + | 0.566645i | ||||
\(379\) | 12.6097 | 0.647719 | 0.323860 | − | 0.946105i | \(-0.395019\pi\) | ||||
0.323860 | + | 0.946105i | \(0.395019\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.64428 | + | 0.232434i | 0.0842390 | + | 0.0119080i | ||||
\(382\) | −1.95504 | + | 2.61018i | −0.100029 | + | 0.133549i | ||||
\(383\) | −1.64428 | −0.0840188 | −0.0420094 | − | 0.999117i | \(-0.513376\pi\) | ||||
−0.0420094 | + | 0.999117i | \(0.513376\pi\) | |||||||
\(384\) | 1.40785 | + | 19.5453i | 0.0718443 | + | 0.997416i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −9.53765 | + | 12.7337i | −0.485453 | + | 0.648130i | ||||
\(387\) | 32.8742 | + | 9.48364i | 1.67109 | + | 0.482081i | ||||
\(388\) | −4.52483 | − | 15.4406i | −0.229713 | − | 0.783876i | ||||
\(389\) | −37.4889 | −1.90076 | −0.950381 | − | 0.311090i | \(-0.899306\pi\) | ||||
−0.950381 | + | 0.311090i | \(0.899306\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | − | 0.958763i | − | 0.0484867i | ||||||
\(392\) | −6.74357 | − | 2.52136i | −0.340602 | − | 0.127348i | ||||
\(393\) | −6.48486 | − | 0.916694i | −0.327118 | − | 0.0462411i | ||||
\(394\) | −5.75023 | + | 7.67714i | −0.289692 | + | 0.386769i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −15.2791 | + | 0.0643136i | −0.767804 | + | 0.00323188i | ||||
\(397\) | 19.8820i | 0.997849i | 0.866646 | + | 0.498924i | \(0.166271\pi\) | ||||
−0.866646 | + | 0.498924i | \(0.833729\pi\) | |||||||
\(398\) | 0.716261 | + | 0.536484i | 0.0359029 | + | 0.0268915i | ||||
\(399\) | −13.8280 | − | 1.95472i | −0.692267 | − | 0.0978583i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | − | 11.2570i | − | 0.562150i | −0.959686 | − | 0.281075i | \(-0.909309\pi\) | ||
0.959686 | − | 0.281075i | \(-0.0906910\pi\) | |||||||
\(402\) | −4.09619 | − | 4.07899i | −0.204300 | − | 0.203441i | ||||
\(403\) | 23.2451 | 1.15792 | ||||||||
\(404\) | −0.610382 | − | 2.08287i | −0.0303676 | − | 0.103627i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −27.5142 | − | 20.6083i | −1.36551 | − | 1.02277i | ||||
\(407\) | 19.5501 | 0.969065 | ||||||||
\(408\) | 0.921700 | + | 0.501407i | 0.0456309 | + | 0.0248233i | ||||
\(409\) | 16.9007 | 0.835685 | 0.417843 | − | 0.908519i | \(-0.362786\pi\) | ||||
0.417843 | + | 0.908519i | \(0.362786\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 22.6171 | + | 3.19713i | 1.11562 | + | 0.157703i | ||||
\(412\) | 22.3250 | − | 6.54230i | 1.09987 | − | 0.322316i | ||||
\(413\) | −1.32344 | −0.0651221 | ||||||||
\(414\) | −15.1528 | + | 11.4494i | −0.744720 | + | 0.562709i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −28.5873 | − | 2.08287i | −1.40161 | − | 0.102121i | ||||
\(417\) | 4.19278 | − | 29.6605i | 0.205321 | − | 1.45248i | ||||
\(418\) | −7.52248 | − | 5.63438i | −0.367936 | − | 0.275587i | ||||
\(419\) | 7.21126i | 0.352293i | 0.984364 | + | 0.176147i | \(0.0563633\pi\) | ||||
−0.984364 | + | 0.176147i | \(0.943637\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | − | 11.3995i | − | 0.555578i | −0.960642 | − | 0.277789i | \(-0.910398\pi\) | ||
0.960642 | − | 0.277789i | \(-0.0896015\pi\) | |||||||
\(422\) | −9.86851 | + | 13.1755i | −0.480391 | + | 0.641372i | ||||
\(423\) | −30.5460 | − | 8.81199i | −1.48520 | − | 0.428454i | ||||
\(424\) | −25.2001 | − | 9.42210i | −1.22383 | − | 0.457578i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 10.6237 | + | 10.5791i | 0.514722 | + | 0.512559i | ||||
\(427\) | 3.43613 | 0.166286 | ||||||||
\(428\) | −12.4921 | + | 3.66080i | −0.603830 | + | 0.176951i | ||||
\(429\) | 3.12814 | − | 22.1290i | 0.151028 | − | 1.06840i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −3.95028 | −0.190278 | −0.0951391 | − | 0.995464i | \(-0.530330\pi\) | ||||
−0.0951391 | + | 0.995464i | \(0.530330\pi\) | |||||||
\(432\) | −3.08232 | − | 20.5548i | −0.148298 | − | 0.988943i | ||||
\(433\) | −20.6509 | −0.992420 | −0.496210 | − | 0.868203i | \(-0.665275\pi\) | ||||
−0.496210 | + | 0.868203i | \(0.665275\pi\) | |||||||
\(434\) | −12.0165 | + | 16.0433i | −0.576811 | + | 0.770102i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 9.72494 | − | 2.84987i | 0.465740 | − | 0.136484i | ||||
\(437\) | −11.6824 | −0.558847 | ||||||||
\(438\) | 20.8538 | + | 20.7662i | 0.996432 | + | 0.992247i | ||||
\(439\) | 28.5778i | 1.36394i | 0.731379 | + | 0.681971i | \(0.238877\pi\) | ||||
−0.731379 | + | 0.681971i | \(0.761123\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 7.33704 | + | 2.11661i | 0.349383 | + | 0.100791i | ||||
\(442\) | −0.920070 | + | 1.22839i | −0.0437633 | + | 0.0584285i | ||||
\(443\) | − | 21.9689i | − | 1.04378i | −0.853014 | − | 0.521888i | \(-0.825228\pi\) | ||
0.853014 | − | 0.521888i | \(-0.174772\pi\) | |||||||
\(444\) | 3.83316 | + | 26.3167i | 0.181914 | + | 1.24894i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 12.1870 | + | 9.12810i | 0.577069 | + | 0.432228i | ||||
\(447\) | 0.924813 | − | 6.54230i | 0.0437422 | − | 0.309440i | ||||
\(448\) | 16.2157 | − | 18.6536i | 0.766120 | − | 0.881300i | ||||
\(449\) | 9.00493i | 0.424969i | 0.977164 | + | 0.212485i | \(0.0681555\pi\) | ||||
−0.977164 | + | 0.212485i | \(0.931844\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 23.6050 | 1.11152 | ||||||||
\(452\) | −11.6187 | + | 3.40483i | −0.546496 | + | 0.160150i | ||||
\(453\) | 22.6783 | + | 3.20578i | 1.06552 | + | 0.150621i | ||||
\(454\) | 14.5298 | + | 10.8829i | 0.681918 | + | 0.510761i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | 6.10960 | − | 11.2308i | 0.286108 | − | 0.525932i | ||||
\(457\) | −18.5748 | −0.868891 | −0.434446 | − | 0.900698i | \(-0.643056\pi\) | ||||
−0.434446 | + | 0.900698i | \(0.643056\pi\) | |||||||
\(458\) | 16.9429 | + | 12.6904i | 0.791692 | + | 0.592982i | ||||
\(459\) | −1.01560 | − | 0.455105i | −0.0474040 | − | 0.0212425i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −34.2003 | −1.59287 | −0.796434 | − | 0.604726i | \(-0.793283\pi\) | ||||
−0.796434 | + | 0.604726i | \(0.793283\pi\) | |||||||
\(462\) | 13.6559 | + | 13.5985i | 0.635330 | + | 0.632662i | ||||
\(463\) | 7.44471i | 0.345985i | 0.984923 | + | 0.172992i | \(0.0553436\pi\) | ||||
−0.984923 | + | 0.172992i | \(0.944656\pi\) | |||||||
\(464\) | 26.4930 | − | 16.9862i | 1.22991 | − | 0.788564i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 23.6547 | + | 17.7175i | 1.09578 | + | 0.820748i | ||||
\(467\) | − | 7.26161i | − | 0.336027i | −0.985785 | − | 0.168014i | \(-0.946265\pi\) | ||
0.985785 | − | 0.168014i | \(-0.0537353\pi\) | |||||||
\(468\) | 30.4015 | − | 0.127968i | 1.40531 | − | 0.00591530i | ||||
\(469\) | 7.29130i | 0.336681i | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −11.2589 | − | 1.59155i | −0.518784 | − | 0.0733349i | ||||
\(472\) | 0.424310 | − | 1.13485i | 0.0195304 | − | 0.0522356i | ||||
\(473\) | − | 29.0431i | − | 1.33540i | ||||||
\(474\) | 20.1047 | − | 20.1895i | 0.923437 | − | 0.927332i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.372179 | − | 1.27003i | −0.0170588 | − | 0.0582116i | ||||
\(477\) | 27.4178 | + | 7.90958i | 1.25538 | + | 0.362155i | ||||
\(478\) | −24.2800 | + | 32.4163i | −1.11054 | + | 1.48269i | ||||
\(479\) | −23.3649 | −1.06757 | −0.533785 | − | 0.845620i | \(-0.679231\pi\) | ||||
−0.533785 | + | 0.845620i | \(0.679231\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −38.8998 | −1.77368 | ||||||||
\(482\) | −7.84203 | + | 10.4699i | −0.357195 | + | 0.476891i | ||||
\(483\) | 23.7190 | + | 3.35290i | 1.07925 | + | 0.152562i | ||||
\(484\) | −2.53951 | − | 8.66584i | −0.115432 | − | 0.393902i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 4.93540 | + | 21.4859i | 0.223874 | + | 0.974618i | ||||
\(487\) | 7.77068i | 0.352123i | 0.984379 | + | 0.176062i | \(0.0563358\pi\) | ||||
−0.984379 | + | 0.176062i | \(0.943664\pi\) | |||||||
\(488\) | −1.10166 | + | 2.94648i | −0.0498699 | + | 0.133381i | ||||
\(489\) | 1.97328 | − | 13.9594i | 0.0892349 | − | 0.631264i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 20.5265i | 0.926349i | 0.886267 | + | 0.463174i | \(0.153290\pi\) | ||||
−0.886267 | + | 0.463174i | \(0.846710\pi\) | |||||||
\(492\) | 4.62820 | + | 31.7751i | 0.208655 | + | 1.43253i | ||||
\(493\) | − | 1.68509i | − | 0.0758928i | ||||||
\(494\) | 14.9678 | + | 11.2110i | 0.673433 | + | 0.504406i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −9.90447 | − | 15.4478i | −0.444724 | − | 0.693628i | ||||
\(497\) | − | 18.9104i | − | 0.848249i | ||||||
\(498\) | −3.97382 | + | 3.99058i | −0.178071 | + | 0.178822i | ||||
\(499\) | −26.4958 | −1.18611 | −0.593057 | − | 0.805161i | \(-0.702079\pi\) | ||||
−0.593057 | + | 0.805161i | \(0.702079\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −5.29861 | + | 37.4833i | −0.236724 | + | 1.67463i | ||||
\(502\) | −1.39759 | − | 1.04681i | −0.0623776 | − | 0.0467212i | ||||
\(503\) | 26.9943 | 1.20362 | 0.601809 | − | 0.798640i | \(-0.294447\pi\) | ||||
0.601809 | + | 0.798640i | \(0.294447\pi\) | |||||||
\(504\) | −15.6277 | + | 21.0486i | −0.696113 | + | 0.937581i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 12.9032 | + | 9.66459i | 0.573618 | + | 0.429643i | ||||
\(507\) | −3.07259 | + | 21.7361i | −0.136459 | + | 0.965332i | ||||
\(508\) | 1.84014 | − | 0.539249i | 0.0816430 | − | 0.0239253i | ||||
\(509\) | −25.8064 | −1.14385 | −0.571925 | − | 0.820306i | \(-0.693803\pi\) | ||||
−0.571925 | + | 0.820306i | \(0.693803\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | − | 37.1201i | − | 1.64210i | ||||||
\(512\) | 10.7965 | + | 19.8855i | 0.477144 | + | 0.878825i | ||||
\(513\) | −5.54541 | + | 12.3750i | −0.244836 | + | 0.546368i | ||||
\(514\) | 21.0596 | + | 15.7738i | 0.928901 | + | 0.695753i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 39.0953 | − | 5.69443i | 1.72108 | − | 0.250683i | ||||
\(517\) | 26.9862i | 1.18685i | ||||||||
\(518\) | 20.1092 | − | 26.8478i | 0.883547 | − | 1.17963i | ||||
\(519\) | −2.30600 | + | 16.3131i | −0.101222 | + | 0.716063i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 1.70694i | 0.0747826i | 0.999301 | + | 0.0373913i | \(0.0119048\pi\) | ||||
−0.999301 | + | 0.0373913i | \(0.988095\pi\) | |||||||
\(522\) | −26.6321 | + | 20.1232i | −1.16566 | + | 0.880768i | ||||
\(523\) | 24.0790 | 1.05290 | 0.526451 | − | 0.850206i | \(-0.323522\pi\) | ||||
0.526451 | + | 0.850206i | \(0.323522\pi\) | |||||||
\(524\) | −7.25732 | + | 2.12674i | −0.317037 | + | 0.0929071i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.54541 | + | 12.7441i | −0.416200 | + | 0.555669i | ||||
\(527\) | −0.982561 | −0.0428010 | ||||||||
\(528\) | −16.0390 | + | 7.35009i | −0.698008 | + | 0.319872i | ||||
\(529\) | −2.96125 | −0.128750 | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −0.356195 | + | 1.23472i | −0.0154576 | + | 0.0535823i | ||||
\(532\) | −15.4752 | + | 4.53497i | −0.670934 | + | 0.196616i | ||||
\(533\) | −46.9680 | −2.03441 | ||||||||
\(534\) | 21.5796 | − | 21.6706i | 0.933840 | − | 0.937779i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −6.25229 | − | 2.33768i | −0.270058 | − | 0.100972i | ||||
\(537\) | 27.8513 | + | 3.93703i | 1.20187 | + | 0.169895i | ||||
\(538\) | −9.90447 | + | 13.2235i | −0.427012 | + | 0.570105i | ||||
\(539\) | − | 6.48200i | − | 0.279199i | ||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | − | 16.6989i | − | 0.717941i | −0.933349 | − | 0.358971i | \(-0.883128\pi\) | ||
0.933349 | − | 0.358971i | \(-0.116872\pi\) | |||||||
\(542\) | 0 | 0 | ||||||||
\(543\) | −16.7180 | − | 2.36324i | −0.717436 | − | 0.101416i | ||||
\(544\) | 1.20837 | + | 0.0880424i | 0.0518086 | + | 0.00377479i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −27.1717 | − | 27.0576i | −1.16284 | − | 1.15796i | ||||
\(547\) | −15.5833 | −0.666292 | −0.333146 | − | 0.942875i | \(-0.608110\pi\) | ||||
−0.333146 | + | 0.942875i | \(0.608110\pi\) | |||||||
\(548\) | 25.3112 | − | 7.41738i | 1.08124 | − | 0.316855i | ||||
\(549\) | 0.924813 | − | 3.20578i | 0.0394701 | − | 0.136819i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −20.5327 | −0.874723 | ||||||||
\(552\) | −10.4797 | + | 19.2641i | −0.446046 | + | 0.819935i | ||||
\(553\) | −35.9376 | −1.52822 | ||||||||
\(554\) | 19.7238 | + | 14.7732i | 0.837984 | + | 0.627655i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −9.72729 | − | 33.1935i | −0.412529 | − | 1.40772i | ||||
\(557\) | 2.96772 | 0.125746 | 0.0628731 | − | 0.998022i | \(-0.479974\pi\) | ||||
0.0628731 | + | 0.998022i | \(0.479974\pi\) | |||||||
\(558\) | 11.7336 | + | 15.5289i | 0.496724 | + | 0.657392i | ||||
\(559\) | 57.7883i | 2.44419i | ||||||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −0.132225 | + | 0.935386i | −0.00558256 | + | 0.0394920i | ||||
\(562\) | 14.6850 | + | 10.9991i | 0.619448 | + | 0.463971i | ||||
\(563\) | − | 11.7057i | − | 0.493335i | −0.969100 | − | 0.246668i | \(-0.920664\pi\) | ||
0.969100 | − | 0.246668i | \(-0.0793356\pi\) | |||||||
\(564\) | −36.3265 | + | 5.29114i | −1.52962 | + | 0.222797i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 10.5038 | − | 14.0236i | 0.441507 | − | 0.589457i | ||||
\(567\) | 14.8106 | − | 23.5335i | 0.621986 | − | 0.988314i | ||||
\(568\) | 16.2157 | + | 6.06291i | 0.680396 | + | 0.254394i | ||||
\(569\) | − | 43.3618i | − | 1.81782i | −0.416992 | − | 0.908910i | \(-0.636916\pi\) | ||
0.416992 | − | 0.908910i | \(-0.363084\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −8.18544 | −0.342550 | −0.171275 | − | 0.985223i | \(-0.554789\pi\) | ||||
−0.171275 | + | 0.985223i | \(0.554789\pi\) | |||||||
\(572\) | −7.25732 | − | 24.7650i | −0.303444 | − | 1.03547i | ||||
\(573\) | 0.559045 | − | 3.95479i | 0.0233545 | − | 0.165214i | ||||
\(574\) | 24.2800 | − | 32.4163i | 1.01343 | − | 1.35303i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −13.0388 | − | 20.1492i | −0.543283 | − | 0.839550i | ||||
\(577\) | 18.9612 | 0.789367 | 0.394683 | − | 0.918817i | \(-0.370854\pi\) | ||||
0.394683 | + | 0.918817i | \(0.370854\pi\) | |||||||
\(578\) | −14.3738 | + | 19.1906i | −0.597873 | + | 0.798222i | ||||
\(579\) | 2.72729 | − | 19.2934i | 0.113342 | − | 0.801805i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 7.10331 | 0.294695 | ||||||||
\(582\) | 13.9636 | + | 13.9049i | 0.578808 | + | 0.576377i | ||||
\(583\) | − | 24.2226i | − | 1.00320i | ||||||
\(584\) | 31.8305 | + | 11.9012i | 1.31716 | + | 0.492473i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −26.9532 | + | 35.9853i | −1.11343 | + | 1.48654i | ||||
\(587\) | − | 19.9546i | − | 0.823614i | −0.911271 | − | 0.411807i | \(-0.864898\pi\) | ||
0.911271 | − | 0.411807i | \(-0.135102\pi\) | |||||||
\(588\) | 8.72550 | − | 1.27091i | 0.359834 | − | 0.0524116i | ||||
\(589\) | 11.9724i | 0.493315i | ||||||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 1.64428 | − | 11.6319i | 0.0676366 | − | 0.478474i | ||||
\(592\) | 16.5748 | + | 25.8514i | 0.681219 | + | 1.06248i | ||||
\(593\) | 27.4465i | 1.12709i | 0.826085 | + | 0.563546i | \(0.190563\pi\) | ||||
−0.826085 | + | 0.563546i | \(0.809437\pi\) | |||||||
\(594\) | 16.3624 | − | 9.08050i | 0.671356 | − | 0.372578i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −2.14558 | − | 7.32159i | −0.0878863 | − | 0.299904i | ||||
\(597\) | −1.08523 | − | 0.153408i | −0.0444157 | − | 0.00627856i | ||||
\(598\) | −25.6741 | − | 19.2300i | −1.04989 | − | 0.786375i | ||||
\(599\) | 13.8858 | 0.567357 | 0.283679 | − | 0.958919i | \(-0.408445\pi\) | ||||
0.283679 | + | 0.958919i | \(0.408445\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −10.7502 | −0.438511 | −0.219255 | − | 0.975667i | \(-0.570363\pi\) | ||||
−0.219255 | + | 0.975667i | \(0.570363\pi\) | |||||||
\(602\) | −39.8843 | − | 29.8736i | −1.62556 | − | 1.21756i | ||||
\(603\) | 6.80252 | + | 1.96241i | 0.277020 | + | 0.0799156i | ||||
\(604\) | 25.3796 | − | 7.43745i | 1.03268 | − | 0.302626i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 1.88363 | + | 1.87572i | 0.0765173 | + | 0.0761959i | ||||
\(607\) | 30.7086i | 1.24642i | 0.782054 | + | 0.623211i | \(0.214172\pi\) | ||||
−0.782054 | + | 0.623211i | \(0.785828\pi\) | |||||||
\(608\) | 1.07279 | − | 14.7239i | 0.0435073 | − | 0.597134i | ||||
\(609\) | 41.6878 | + | 5.89296i | 1.68928 | + | 0.238795i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | − | 53.6957i | − | 2.17229i | ||||||
\(612\) | −1.28506 | + | 0.00540914i | −0.0519455 | + | 0.000218652i | ||||
\(613\) | 13.3170i | 0.537870i | 0.963158 | + | 0.268935i | \(0.0866716\pi\) | ||||
−0.963158 | + | 0.268935i | \(0.913328\pi\) | |||||||
\(614\) | −8.75683 | + | 11.6913i | −0.353397 | + | 0.471821i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 20.8439 | + | 7.79336i | 0.839826 | + | 0.314003i | ||||
\(617\) | 38.3725i | 1.54482i | 0.635124 | + | 0.772410i | \(0.280949\pi\) | ||||
−0.635124 | + | 0.772410i | \(0.719051\pi\) | |||||||
\(618\) | −20.1047 | + | 20.1895i | −0.808728 | + | 0.812139i | ||||
\(619\) | 4.59507 | 0.184691 | 0.0923457 | − | 0.995727i | \(-0.470564\pi\) | ||||
0.0923457 | + | 0.995727i | \(0.470564\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 9.51198 | − | 21.2266i | 0.381703 | − | 0.851794i | ||||
\(622\) | −4.35620 | + | 5.81597i | −0.174668 | + | 0.233199i | ||||
\(623\) | −38.5741 | −1.54544 | ||||||||
\(624\) | 31.9135 | − | 14.6248i | 1.27756 | − | 0.585460i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 13.2886 | − | 17.7417i | 0.531120 | − | 0.709099i | ||||
\(627\) | 11.3976 | + | 1.61115i | 0.455176 | + | 0.0643433i | ||||
\(628\) | −12.6001 | + | 3.69242i | −0.502797 | + | 0.147344i | ||||
\(629\) | 1.64428 | 0.0655617 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | − | 40.2097i | − | 1.60072i | −0.599518 | − | 0.800362i | \(-0.704641\pi\) | ||
0.599518 | − | 0.800362i | \(-0.295359\pi\) | |||||||
\(632\) | 11.5220 | − | 30.8165i | 0.458322 | − | 1.22582i | ||||
\(633\) | 2.82190 | − | 19.9626i | 0.112161 | − | 0.793444i | ||||
\(634\) | 7.59037 | − | 10.1339i | 0.301452 | − | 0.402469i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 32.6064 | − | 4.74929i | 1.29293 | − | 0.188321i | ||||
\(637\) | 12.8975i | 0.511018i | ||||||||
\(638\) | 22.6783 | + | 16.9862i | 0.897842 | + | 0.672489i | ||||
\(639\) | −17.6428 | − | 5.08964i | −0.697937 | − | 0.201343i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | 7.56252i | 0.298702i | 0.988784 | + | 0.149351i | \(0.0477184\pi\) | ||||
−0.988784 | + | 0.149351i | \(0.952282\pi\) | |||||||
\(642\) | 11.2497 | − | 11.2972i | 0.443991 | − | 0.445864i | ||||
\(643\) | 2.47018 | 0.0974145 | 0.0487072 | − | 0.998813i | \(-0.484490\pi\) | ||||
0.0487072 | + | 0.998813i | \(0.484490\pi\) | |||||||
\(644\) | 26.5444 | − | 7.77877i | 1.04599 | − | 0.306527i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.632684 | − | 0.473884i | −0.0248926 | − | 0.0186447i | ||||
\(647\) | 30.1474 | 1.18522 | 0.592608 | − | 0.805491i | \(-0.298099\pi\) | ||||
0.592608 | + | 0.805491i | \(0.298099\pi\) | |||||||
\(648\) | 15.4315 | + | 20.2452i | 0.606208 | + | 0.795306i | ||||
\(649\) | 1.09083 | 0.0428188 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 3.43613 | − | 24.3078i | 0.134672 | − | 0.952697i | ||||
\(652\) | −4.57804 | − | 15.6222i | −0.179290 | − | 0.611811i | ||||
\(653\) | 8.42674 | 0.329764 | 0.164882 | − | 0.986313i | \(-0.447276\pi\) | ||||
0.164882 | + | 0.986313i | \(0.447276\pi\) | |||||||
\(654\) | −8.75774 | + | 8.79468i | −0.342455 | + | 0.343899i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 20.0126 | + | 31.2132i | 0.781359 | + | 1.21867i | ||||
\(657\) | −34.6318 | − | 9.99067i | −1.35111 | − | 0.389773i | ||||
\(658\) | 37.0596 | + | 27.7579i | 1.44474 | + | 1.08212i | ||||
\(659\) | 13.5764i | 0.528863i | 0.964404 | + | 0.264432i | \(0.0851843\pi\) | ||||
−0.964404 | + | 0.264432i | \(0.914816\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | − | 1.68509i | − | 0.0655425i | −0.999463 | − | 0.0327713i | \(-0.989567\pi\) | ||
0.999463 | − | 0.0327713i | \(-0.0104333\pi\) | |||||||
\(662\) | 3.80230 | − | 5.07646i | 0.147781 | − | 0.197302i | ||||
\(663\) | 0.263094 | − | 1.86118i | 0.0102177 | − | 0.0722821i | ||||
\(664\) | −2.27740 | + | 6.09109i | −0.0883804 | + | 0.236380i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −19.6358 | − | 25.9871i | −0.760872 | − | 1.00698i | ||||
\(667\) | 35.2195 | 1.36370 | ||||||||
\(668\) | 12.2928 | + | 41.9482i | 0.475624 | + | 1.62302i | ||||
\(669\) | −18.4649 | − | 2.61018i | −0.713895 | − | 0.100916i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −2.83219 | −0.109335 | ||||||||
\(672\) | −6.40392 | + | 29.5863i | −0.247036 | + | 1.14132i | ||||
\(673\) | 7.03784 | 0.271289 | 0.135644 | − | 0.990758i | \(-0.456690\pi\) | ||||
0.135644 | + | 0.990758i | \(0.456690\pi\) | |||||||
\(674\) | 22.0422 | − | 29.4286i | 0.849035 | − | 1.13355i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 7.12844 | + | 24.3252i | 0.274171 | + | 0.935584i | ||||
\(677\) | 41.8298 | 1.60765 | 0.803825 | − | 0.594866i | \(-0.202795\pi\) | ||||
0.803825 | + | 0.594866i | \(0.202795\pi\) | |||||||
\(678\) | 10.4631 | − | 10.5073i | 0.401834 | − | 0.403529i | ||||
\(679\) | − | 24.8554i | − | 0.953863i | ||||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −22.0147 | − | 3.11198i | −0.843604 | − | 0.119251i | ||||
\(682\) | 9.90447 | − | 13.2235i | 0.379262 | − | 0.506353i | ||||
\(683\) | 28.2464i | 1.08082i | 0.841403 | + | 0.540409i | \(0.181730\pi\) | ||||
−0.841403 | + | 0.540409i | \(0.818270\pi\) | |||||||
\(684\) | 0.0659099 | + | 15.6583i | 0.00252013 | + | 0.598712i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 15.5782 | + | 11.6682i | 0.594778 | + | 0.445492i | ||||
\(687\) | −25.6709 | − | 3.62881i | −0.979406 | − | 0.138448i | ||||
\(688\) | 38.4040 | − | 24.6230i | 1.46414 | − | 0.938742i | ||||
\(689\) | 48.1968i | 1.83615i | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 24.8633 | 0.945844 | 0.472922 | − | 0.881104i | \(-0.343199\pi\) | ||||
0.472922 | + | 0.881104i | \(0.343199\pi\) | |||||||
\(692\) | 5.34994 | + | 18.2562i | 0.203374 | + | 0.693997i | ||||
\(693\) | −22.6783 | − | 6.54230i | −0.861477 | − | 0.248521i | ||||
\(694\) | −12.1322 | − | 9.08711i | −0.460533 | − | 0.344942i | ||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −18.4188 | + | 33.8580i | −0.698164 | + | 1.28338i | ||||
\(697\) | 1.98532 | 0.0751994 | ||||||||
\(698\) | 13.1663 | + | 9.86165i | 0.498352 | + | 0.373269i | ||||
\(699\) | −35.8401 | − | 5.06633i | −1.35560 | − | 0.191626i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 42.6271 | 1.61000 | 0.805001 | − | 0.593274i | \(-0.202165\pi\) | ||||
0.805001 | + | 0.593274i | \(0.202165\pi\) | |||||||
\(702\) | −32.5569 | + | 18.0679i | −1.22878 | + | 0.681928i | ||||
\(703\) | − | 20.0354i | − | 0.755650i | ||||||
\(704\) | −13.3656 | + | 15.3750i | −0.503736 | + | 0.579468i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −24.6244 | − | 18.4439i | −0.926753 | − | 0.694144i | ||||
\(707\) | − | 3.35290i | − | 0.126099i | ||||||
\(708\) | 0.213877 | + | 1.46838i | 0.00803798 | + | 0.0551850i | ||||
\(709\) | 17.0057i | 0.638663i | 0.947643 | + | 0.319331i | \(0.103458\pi\) | ||||
−0.947643 | + | 0.319331i | \(0.896542\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −9.67240 | + | 33.5285i | −0.362743 | + | 1.25742i | ||||
\(712\) | 12.3673 | − | 33.0773i | 0.463485 | − | 1.23962i | ||||
\(713\) | − | 20.5361i | − | 0.769085i | ||||||
\(714\) | 1.14854 | + | 1.14372i | 0.0429830 | + | 0.0428025i | ||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 31.1688 | − | 9.13396i | 1.16483 | − | 0.341352i | ||||
\(717\) | 6.94289 | − | 49.1152i | 0.259287 | − | 1.83424i | ||||
\(718\) | −10.9394 | + | 14.6053i | −0.408257 | + | 0.545064i | ||||
\(719\) | −28.6386 | −1.06804 | −0.534020 | − | 0.845472i | \(-0.679319\pi\) | ||||
−0.534020 | + | 0.845472i | \(0.679319\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 35.9376 | 1.33839 | ||||||||
\(722\) | 10.3341 | − | 13.7971i | 0.384596 | − | 0.513475i | ||||
\(723\) | 2.24243 | − | 15.8634i | 0.0833969 | − | 0.589965i | ||||
\(724\) | −18.7093 | + | 5.48274i | −0.695327 | + | 0.203764i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 7.83689 | + | 7.80397i | 0.290854 | + | 0.289633i | ||||
\(727\) | 14.1822i | 0.525990i | 0.964797 | + | 0.262995i | \(0.0847104\pi\) | ||||
−0.964797 | + | 0.262995i | \(0.915290\pi\) | |||||||
\(728\) | −41.4741 | − | 15.5068i | −1.53713 | − | 0.574720i | ||||
\(729\) | −17.9697 | − | 20.1517i | −0.665545 | − | 0.746357i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | − | 2.44269i | − | 0.0903462i | ||||||
\(732\) | −0.555302 | − | 3.81244i | −0.0205245 | − | 0.140912i | ||||
\(733\) | 51.7027i | 1.90968i | 0.297113 | + | 0.954842i | \(0.403976\pi\) | ||||
−0.297113 | + | 0.954842i | \(0.596024\pi\) | |||||||
\(734\) | 13.2722 | + | 9.94095i | 0.489885 | + | 0.366927i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −1.84014 | + | 25.2558i | −0.0678285 | + | 0.930940i | ||||
\(737\) | − | 6.00977i | − | 0.221373i | ||||||
\(738\) | −23.7085 | − | 31.3771i | −0.872720 | − | 1.15501i | ||||
\(739\) | −16.7493 | −0.616133 | −0.308067 | − | 0.951365i | \(-0.599682\pi\) | ||||
−0.308067 | + | 0.951365i | \(0.599682\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −22.6783 | − | 3.20578i | −0.833108 | − | 0.117767i | ||||
\(742\) | −33.2645 | − | 24.9153i | −1.22118 | − | 0.914669i | ||||
\(743\) | −13.5649 | −0.497649 | −0.248825 | − | 0.968549i | \(-0.580044\pi\) | ||||
−0.248825 | + | 0.968549i | \(0.580044\pi\) | |||||||
\(744\) | 19.7423 | + | 10.7398i | 0.723786 | + | 0.393742i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | −35.1961 | − | 26.3621i | −1.28862 | − | 0.965185i | ||||
\(747\) | 1.91181 | − | 6.62713i | 0.0699496 | − | 0.242474i | ||||
\(748\) | 0.306764 | + | 1.04681i | 0.0112164 | + | 0.0382750i | ||||
\(749\) | −20.1092 | −0.734774 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 37.3072i | 1.36136i | 0.732581 | + | 0.680680i | \(0.238316\pi\) | ||||
−0.732581 | + | 0.680680i | \(0.761684\pi\) | |||||||
\(752\) | −35.6842 | + | 22.8791i | −1.30127 | + | 0.834316i | ||||
\(753\) | 2.11755 | + | 0.299334i | 0.0771676 | + | 0.0109084i | ||||
\(754\) | −45.1240 | − | 33.7981i | −1.64332 | − | 1.23086i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 4.36018 | − | 31.8103i | 0.158578 | − | 1.15693i | ||||
\(757\) | 0.385842i | 0.0140237i | 0.999975 | + | 0.00701183i | \(0.00223195\pi\) | ||||
−0.999975 | + | 0.00701183i | \(0.997768\pi\) | |||||||
\(758\) | −10.6906 | + | 14.2731i | −0.388302 | + | 0.518423i | ||||
\(759\) | −19.5501 | − | 2.76359i | −0.709625 | − | 0.100312i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | − | 10.2235i | − | 0.370603i | −0.982682 | − | 0.185302i | \(-0.940674\pi\) | ||
0.982682 | − | 0.185302i | \(-0.0593262\pi\) | |||||||
\(762\) | −1.65713 | + | 1.66412i | −0.0600314 | + | 0.0602846i | ||||
\(763\) | 15.6547 | 0.566738 | ||||||||
\(764\) | −1.29699 | − | 4.42587i | −0.0469235 | − | 0.160122i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.39403 | − | 1.86118i | 0.0503685 | − | 0.0672471i | ||||
\(767\) | −2.17047 | −0.0783711 | ||||||||
\(768\) | −23.3171 | − | 14.9771i | −0.841383 | − | 0.540439i | ||||
\(769\) | 4.34816 | 0.156799 | 0.0783994 | − | 0.996922i | \(-0.475019\pi\) | ||||
0.0783994 | + | 0.996922i | \(0.475019\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −31.9083 | − | 4.51052i | −1.14915 | − | 0.162443i | ||||
\(772\) | −6.32735 | − | 21.5915i | −0.227726 | − | 0.777096i | ||||
\(773\) | −21.4326 | −0.770878 | −0.385439 | − | 0.922733i | \(-0.625950\pi\) | ||||
−0.385439 | + | 0.922733i | \(0.625950\pi\) | |||||||
\(774\) | −38.6056 | + | 29.1703i | −1.38765 | + | 1.04851i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 21.3135 | + | 7.96894i | 0.765111 | + | 0.286068i | ||||
\(777\) | −5.75023 | + | 40.6782i | −0.206288 | + | 1.45932i | ||||
\(778\) | 31.7834 | − | 42.4340i | 1.13949 | − | 1.52133i | ||||
\(779\) | − | 24.1910i | − | 0.866731i | ||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 15.5867i | 0.557737i | ||||||||
\(782\) | 1.08523 | + | 0.812847i | 0.0388079 | + | 0.0290674i | ||||
\(783\) | 16.7180 | − | 37.3072i | 0.597451 | − | 1.33325i | ||||
\(784\) | 8.57121 | − | 5.49549i | 0.306115 | − | 0.196267i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 6.53553 | − | 6.56310i | 0.233115 | − | 0.234098i | ||||
\(787\) | −32.2753 | −1.15049 | −0.575246 | − | 0.817980i | \(-0.695094\pi\) | ||||
−0.575246 | + | 0.817980i | \(0.695094\pi\) | |||||||
\(788\) | −3.81475 | − | 13.0175i | −0.135895 | − | 0.463729i | ||||
\(789\) | 2.72951 | − | 19.3091i | 0.0971733 | − | 0.687421i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | −18.7031 | −0.665006 | ||||||||
\(792\) | 12.8809 | − | 17.3491i | 0.457705 | − | 0.616473i | ||||
\(793\) | 5.63533 | 0.200116 | ||||||||
\(794\) | −22.5046 | − | 16.8561i | −0.798660 | − | 0.598201i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −1.21450 | + | 0.355908i | −0.0430469 | + | 0.0126148i | ||||
\(797\) | 14.4120 | 0.510498 | 0.255249 | − | 0.966875i | \(-0.417843\pi\) | ||||
0.255249 | + | 0.966875i | \(0.417843\pi\) | |||||||
\(798\) | 13.9361 | − | 13.9949i | 0.493332 | − | 0.495413i | ||||
\(799\) | 2.26970i | 0.0802961i | ||||||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −10.3820 | + | 35.9883i | −0.366830 | + | 1.27158i | ||||
\(802\) | 12.7420 | + | 9.54382i | 0.449935 | + | 0.337004i | ||||
\(803\) | 30.5959i | 1.07970i | ||||||||
\(804\) | 8.08983 | − | 1.17833i | 0.285306 | − | 0.0415563i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −19.7074 | + | 26.3113i | −0.694162 | + | 0.926777i | ||||
\(807\) | 2.83219 | − | 20.0354i | 0.0996977 | − | 0.705280i | ||||
\(808\) | 2.87511 | + | 1.07498i | 0.101146 | + | 0.0378177i | ||||
\(809\) | − | 27.3297i | − | 0.960860i | −0.877033 | − | 0.480430i | \(-0.840481\pi\) | ||
0.877033 | − | 0.480430i | \(-0.159519\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 1.18452 | 0.0415942 | 0.0207971 | − | 0.999784i | \(-0.493380\pi\) | ||||
0.0207971 | + | 0.999784i | \(0.493380\pi\) | |||||||
\(812\) | 46.6536 | − | 13.6717i | 1.63722 | − | 0.479784i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −16.5748 | + | 22.1290i | −0.580946 | + | 0.775622i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −1.34897 | + | 0.618185i | −0.0472235 | + | 0.0216408i | ||||
\(817\) | −29.7640 | −1.04131 | ||||||||
\(818\) | −14.3285 | + | 19.1301i | −0.500986 | + | 0.668867i | ||||
\(819\) | 45.1240 | + | 13.0175i | 1.57676 | + | 0.454868i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −16.8535 | −0.588191 | −0.294095 | − | 0.955776i | \(-0.595018\pi\) | ||||
−0.294095 | + | 0.955776i | \(0.595018\pi\) | |||||||
\(822\) | −22.7938 | + | 22.8900i | −0.795026 | + | 0.798379i | ||||
\(823\) | 47.6544i | 1.66113i | 0.556923 | + | 0.830564i | \(0.311982\pi\) | ||||
−0.556923 | + | 0.830564i | \(0.688018\pi\) | |||||||
\(824\) | −11.5220 | + | 30.8165i | −0.401389 | + | 1.07354i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.12202 | − | 1.49801i | 0.0390401 | − | 0.0521225i | ||||
\(827\) | − | 11.4476i | − | 0.398073i | −0.979992 | − | 0.199036i | \(-0.936219\pi\) | ||
0.979992 | − | 0.199036i | \(-0.0637812\pi\) | |||||||
\(828\) | −0.113054 | − | 26.8586i | −0.00392891 | − | 0.933400i | ||||
\(829\) | 13.6692i | 0.474751i | 0.971418 | + | 0.237375i | \(0.0762871\pi\) | ||||
−0.971418 | + | 0.237375i | \(0.923713\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −29.8843 | − | 4.22441i | −1.03667 | − | 0.146543i | ||||
\(832\) | 26.5942 | − | 30.5924i | 0.921986 | − | 1.06060i | ||||
\(833\) | − | 0.545173i | − | 0.0188891i | ||||||
\(834\) | 30.0183 | + | 29.8922i | 1.03945 | + | 1.03508i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 12.7552 | − | 3.73790i | 0.441149 | − | 0.129278i | ||||
\(837\) | −21.7535 | − | 9.74808i | −0.751910 | − | 0.336943i | ||||
\(838\) | −8.16250 | − | 6.11377i | −0.281969 | − | 0.211197i | ||||
\(839\) | −16.7180 | −0.577168 | −0.288584 | − | 0.957455i | \(-0.593184\pi\) | ||||
−0.288584 | + | 0.957455i | \(0.593184\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 32.9007 | 1.13451 | ||||||||
\(842\) | 12.9032 | + | 9.66459i | 0.444674 | + | 0.333064i | ||||
\(843\) | −22.2498 | − | 3.14521i | −0.766323 | − | 0.108327i | ||||
\(844\) | −6.54685 | − | 22.3405i | −0.225352 | − | 0.768993i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 35.8715 | − | 27.1044i | 1.23329 | − | 0.931870i | ||||
\(847\) | − | 13.9498i | − | 0.479321i | ||||||
\(848\) | 32.0298 | − | 20.5361i | 1.09991 | − | 0.705214i | ||||
\(849\) | −3.00356 | + | 21.2477i | −0.103082 | + | 0.729220i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 34.3665i | 1.17807i | ||||||||
\(852\) | −20.9815 | + | 3.05606i | −0.718814 | + | 0.104699i | ||||
\(853\) | − | 7.83055i | − | 0.268113i | −0.990974 | − | 0.134056i | \(-0.957200\pi\) | ||
0.990974 | − | 0.134056i | \(-0.0428004\pi\) | |||||||
\(854\) | −2.91317 | + | 3.88939i | −0.0996868 | + | 0.133092i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 6.44725 | − | 17.2436i | 0.220362 | − | 0.589375i | ||||
\(857\) | − | 25.7234i | − | 0.878696i | −0.898317 | − | 0.439348i | \(-0.855210\pi\) | ||
0.898317 | − | 0.439348i | \(-0.144790\pi\) | |||||||
\(858\) | 22.3960 | + | 22.3019i | 0.764587 | + | 0.761375i | ||||
\(859\) | −12.5142 | −0.426980 | −0.213490 | − | 0.976945i | \(-0.568483\pi\) | ||||
−0.213490 | + | 0.976945i | \(0.568483\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | −6.94289 | + | 49.1152i | −0.236613 | + | 1.67384i | ||||
\(862\) | 3.34908 | − | 4.47136i | 0.114070 | − | 0.152295i | ||||
\(863\) | 24.1621 | 0.822489 | 0.411244 | − | 0.911525i | \(-0.365094\pi\) | ||||
0.411244 | + | 0.911525i | \(0.365094\pi\) | |||||||
\(864\) | 25.8794 | + | 13.9376i | 0.880435 | + | 0.474167i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 17.5080 | − | 23.3750i | 0.594947 | − | 0.794315i | ||||
\(867\) | 4.11021 | − | 29.0763i | 0.139590 | − | 0.987484i | ||||
\(868\) | −7.97185 | − | 27.2032i | −0.270582 | − | 0.923338i | ||||
\(869\) | 29.6212 | 1.00483 | ||||||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 11.9579i | 0.405178i | ||||||||
\(872\) | −5.01908 | + | 13.4239i | −0.169968 | + | 0.454591i | ||||
\(873\) | −23.1892 | − | 6.68969i | −0.784836 | − | 0.226412i | ||||
\(874\) | 9.90447 | − | 13.2235i | 0.335024 | − | 0.447291i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −41.1855 | + | 5.99887i | −1.39153 | + | 0.202683i | ||||
\(877\) | 18.7362i | 0.632675i | 0.948647 | + | 0.316337i | \(0.102453\pi\) | ||||
−0.948647 | + | 0.316337i | \(0.897547\pi\) | |||||||
\(878\) | −32.3475 | − | 24.2285i | −1.09167 | − | 0.817671i | ||||
\(879\) | 7.70728 | − | 54.5227i | 0.259960 | − | 1.83900i | ||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 45.2764i | 1.52540i | 0.646752 | + | 0.762701i | \(0.276127\pi\) | ||||
−0.646752 | + | 0.762701i | \(0.723873\pi\) | |||||||
\(882\) | −8.61622 | + | 6.51039i | −0.290123 | + | 0.219216i | ||||
\(883\) | −32.6703 | −1.09944 | −0.549722 | − | 0.835348i | \(-0.685266\pi\) | ||||
−0.549722 | + | 0.835348i | \(0.685266\pi\) | |||||||
\(884\) | −0.610382 | − | 2.08287i | −0.0205294 | − | 0.0700547i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 24.8669 | + | 18.6254i | 0.835418 | + | 0.625734i | ||||
\(887\) | −24.6883 | −0.828953 | −0.414477 | − | 0.910060i | \(-0.636035\pi\) | ||||
−0.414477 | + | 0.910060i | \(0.636035\pi\) | |||||||
\(888\) | −33.0379 | − | 17.9727i | −1.10868 | − | 0.603125i | ||||
\(889\) | 2.96216 | 0.0993477 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −12.2075 | + | 19.3972i | −0.408965 | + | 0.649831i | ||||
\(892\) | −20.6644 | + | 6.05566i | −0.691895 | + | 0.202758i | ||||
\(893\) | 27.6560 | 0.925474 | ||||||||
\(894\) | 6.62123 | + | 6.59342i | 0.221447 | + | 0.220517i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 7.36640 | + | 34.1694i | 0.246094 | + | 1.14152i | ||||
\(897\) | 38.8998 | + | 5.49884i | 1.29883 | + | 0.183601i | ||||
\(898\) | −10.1928 | − | 7.63446i | −0.340137 | − | 0.254765i | ||||
\(899\) | − | 36.0937i | − | 1.20379i | ||||||
\(900\) | 0 | 0 | ||||||||
\(901\) | − | 2.03726i | − | 0.0678710i | ||||||
\(902\) | −20.0126 | + | 26.7188i | −0.666345 | + | 0.889639i | ||||
\(903\) | 60.4302 | + | 8.54237i | 2.01099 | + | 0.284272i | ||||
\(904\) | 5.99644 | − | 16.0379i | 0.199439 | − | 0.533414i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −22.8555 | + | 22.9519i | −0.759323 | + | 0.762526i | ||||
\(907\) | 15.7502 | 0.522978 | 0.261489 | − | 0.965206i | \(-0.415787\pi\) | ||||
0.261489 | + | 0.965206i | \(0.415787\pi\) | |||||||
\(908\) | −24.6370 | + | 7.21982i | −0.817607 | + | 0.239598i | ||||
\(909\) | −3.12814 | − | 0.902414i | −0.103754 | − | 0.0299312i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 50.4948 | 1.67297 | 0.836483 | − | 0.547993i | \(-0.184608\pi\) | ||||
0.836483 | + | 0.547993i | \(0.184608\pi\) | |||||||
\(912\) | 7.53253 | + | 16.4371i | 0.249427 | + | 0.544287i | ||||
\(913\) | −5.85482 | −0.193766 | ||||||||
\(914\) | 15.7478 | − | 21.0250i | 0.520892 | − | 0.695445i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −28.7287 | + | 8.41889i | −0.949224 | + | 0.278168i | ||||
\(917\) | −11.6824 | −0.385788 | ||||||||
\(918\) | 1.37617 | − | 0.763723i | 0.0454203 | − | 0.0252066i | ||||
\(919\) | − | 22.6311i | − | 0.746530i | −0.927725 | − | 0.373265i | \(-0.878238\pi\) | ||
0.927725 | − | 0.373265i | \(-0.121762\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | 2.50402 | − | 17.7139i | 0.0825102 | − | 0.583692i | ||||
\(922\) | 28.9953 | − | 38.7117i | 0.954909 | − | 1.27490i | ||||
\(923\) | − | 31.0136i | − | 1.02082i | ||||||
\(924\) | −26.9699 | + | 3.92831i | −0.887245 | + | 0.129232i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | −8.42674 | − | 6.31169i | −0.276920 | − | 0.207415i | ||||
\(927\) | 9.67240 | − | 33.5285i | 0.317683 | − | 1.10122i | ||||
\(928\) | −3.23417 | + | 44.3888i | −0.106167 | + | 1.45713i | ||||
\(929\) | 45.8021i | 1.50272i | 0.659893 | + | 0.751360i | \(0.270602\pi\) | ||||
−0.659893 | + | 0.751360i | \(0.729398\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.64289 | −0.217712 | ||||||||
\(932\) | −40.1093 | + | 11.7539i | −1.31382 | + | 0.385013i | ||||
\(933\) | 1.24566 | − | 8.81199i | 0.0407809 | − | 0.288492i | ||||
\(934\) | 8.21949 | + | 6.15645i | 0.268950 | + | 0.201445i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −25.6298 | + | 34.5203i | −0.837736 | + | 1.12833i | ||||
\(937\) | −4.77203 | −0.155895 | −0.0779477 | − | 0.996957i | \(-0.524837\pi\) | ||||
−0.0779477 | + | 0.996957i | \(0.524837\pi\) | |||||||
\(938\) | −8.25310 | − | 6.18162i | −0.269473 | − | 0.201837i | ||||
\(939\) | −3.79988 | + | 26.8811i | −0.124004 | + | 0.877230i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 28.5031 | 0.929174 | 0.464587 | − | 0.885528i | \(-0.346203\pi\) | ||||
0.464587 | + | 0.885528i | \(0.346203\pi\) | |||||||
\(942\) | 11.3469 | − | 11.3948i | 0.369702 | − | 0.371262i | ||||
\(943\) | 41.4944i | 1.35124i | ||||||||
\(944\) | 0.924813 | + | 1.44241i | 0.0301001 | + | 0.0469466i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 32.8742 | + | 24.6230i | 1.06883 | + | 0.800562i | ||||
\(947\) | 59.7387i | 1.94125i | 0.240606 | + | 0.970623i | \(0.422654\pi\) | ||||
−0.240606 | + | 0.970623i | \(0.577346\pi\) | |||||||
\(948\) | 5.80777 | + | 39.8734i | 0.188628 | + | 1.29503i | ||||
\(949\) | − | 60.8779i | − | 1.97618i | ||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −2.17047 | + | 15.3543i | −0.0703823 | + | 0.497897i | ||||
\(952\) | 1.75309 | + | 0.655466i | 0.0568181 | + | 0.0212438i | ||||
\(953\) | − | 32.0009i | − | 1.03661i | −0.855196 | − | 0.518305i | \(-0.826563\pi\) | ||
0.855196 | − | 0.518305i | \(-0.173437\pi\) | |||||||
\(954\) | −32.1980 | + | 24.3287i | −1.04245 | + | 0.787672i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −16.1076 | − | 54.9657i | −0.520956 | − | 1.77772i | ||||
\(957\) | −34.3607 | − | 4.85720i | −1.11072 | − | 0.157011i | ||||
\(958\) | 19.8089 | − | 26.4470i | 0.639998 | − | 0.854463i | ||||
\(959\) | 40.7446 | 1.31571 | ||||||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 9.95413 | 0.321101 | ||||||||
\(962\) | 32.9795 | − | 44.0311i | 1.06330 | − | 1.41962i | ||||
\(963\) | −5.41227 | + | 18.7612i | −0.174408 | + | 0.604570i | ||||
\(964\) | −5.20247 | − | 17.7530i | −0.167560 | − | 0.571784i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | −23.9044 | + | 24.0052i | −0.769111 | + | 0.772355i | ||||
\(967\) | 30.7086i | 0.987521i | 0.869598 | + | 0.493761i | \(0.164378\pi\) | ||||
−0.869598 | + | 0.493761i | \(0.835622\pi\) | |||||||
\(968\) | 11.9620 | + | 4.47248i | 0.384472 | + | 0.143751i | ||||
\(969\) | 0.958603 | + | 0.135507i | 0.0307948 | + | 0.00435312i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | − | 54.2279i | − | 1.74025i | −0.492827 | − | 0.870127i | \(-0.664036\pi\) | ||
0.492827 | − | 0.870127i | \(-0.335964\pi\) | |||||||
\(972\) | −28.5043 | − | 12.6294i | −0.914277 | − | 0.405090i | ||||
\(973\) | − | 53.4332i | − | 1.71299i | ||||||
\(974\) | −8.79572 | − | 6.58805i | −0.281833 | − | 0.211095i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −2.40115 | − | 3.74503i | −0.0768590 | − | 0.119876i | ||||
\(977\) | − | 11.5621i | − | 0.369905i | −0.982748 | − | 0.184952i | \(-0.940787\pi\) | ||
0.982748 | − | 0.184952i | \(-0.0592131\pi\) | |||||||
\(978\) | 14.1278 | + | 14.0684i | 0.451757 | + | 0.449859i | ||||
\(979\) | 31.7943 | 1.01615 | ||||||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 4.21337 | − | 14.6053i | 0.134523 | − | 0.466311i | ||||
\(982\) | −23.2342 | − | 17.4025i | −0.741432 | − | 0.555338i | ||||
\(983\) | −48.8505 | −1.55809 | −0.779044 | − | 0.626969i | \(-0.784295\pi\) | ||||
−0.779044 | + | 0.626969i | \(0.784295\pi\) | |||||||
\(984\) | −39.8904 | − | 21.7005i | −1.27166 | − | 0.691785i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 1.90737 | + | 1.42864i | 0.0607432 | + | 0.0454970i | ||||
\(987\) | −56.1505 | − | 7.93738i | −1.78729 | − | 0.252650i | ||||
\(988\) | −25.3796 | + | 7.43745i | −0.807434 | + | 0.236617i | ||||
\(989\) | 51.0538 | 1.62342 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 8.77480i | 0.278741i | 0.990240 | + | 0.139370i | \(0.0445079\pi\) | ||||
−0.990240 | + | 0.139370i | \(0.955492\pi\) | |||||||
\(992\) | 25.8827 | + | 1.88582i | 0.821775 | + | 0.0598747i | ||||
\(993\) | −1.08727 | + | 7.69154i | −0.0345035 | + | 0.244084i | ||||
\(994\) | 21.4049 | + | 16.0324i | 0.678923 | + | 0.508518i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | −1.14794 | − | 7.88125i | −0.0363740 | − | 0.249727i | ||||
\(997\) | − | 5.99205i | − | 0.189770i | −0.995488 | − | 0.0948851i | \(-0.969752\pi\) | ||
0.995488 | − | 0.0948851i | \(-0.0302484\pi\) | |||||||
\(998\) | 22.4633 | − | 29.9908i | 0.711064 | − | 0.949343i | ||||
\(999\) | 36.4036 | + | 16.3131i | 1.15176 | + | 0.516122i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))